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arXiv 0710.0435gr-qc
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加速探测器-量子场系统中的纠缠、重相干和信息流:对黑洞信息问题的启示

Entanglement, recoherence and information flow in an accelerated detector - quantum field system: Implications for black hole information issue

Shih-Yuin Lin, B. L. Hu

摘要:

本文研究了一个精确可解的模型,在该模型中,一个匀加速的探测器与一个初始处于闵可夫斯基真空中的无质量标量场线性耦合。使用精确的关联函数,我们表明,只要耦合被打开,人们可以看到信息流从检测器的领域和传播的辐射到零无限。通过用两点函数表示探测器的约化密度矩阵,计算了探测器中的纯度函数,研究了探测器与光场之间的量子纠缠演化.只有在超弱耦合状态下,探测器才会在后期出现某种程度的重相干,但在完全恢复时却永远不会出现。我们明确地表明,在最一般的条件下,检测器永远不会恢复其量子相干性和检测器和字段之间的纠缠仍然很大,在后期。在某种程度上,这个模型可以被用来作为一个模拟系统的黑洞与量子场相互作用,我们的结果似乎表明,在流行的非马尔可夫制度,假设统一的组合系统,黑洞信息不会丢失,但转移到量子场的自由度。我们的组合系统将演变成一个高度纠缠的状态之间的残余大面积(在贝肯斯坦的黑洞原子模拟)没有任何信息的初始状态,量子场,现在充满了复杂的信息内容不那么容易检索的本地观察者。

英文摘要:

We study an exactly solvable model where an uniformly accelerated detector is linearly coupled to a massless scalar field initially in the Minkowski vacuum. Using the exact correlation functions we show that as soon as the coupling is switched on one can see information flowing from the detector to the field and propagating with the radiation into null infinity. By expressing the reduced density matrix of the detector in terms of the two-point functions, we calculate the purity function in the detector and study the evolution of quantum entanglement between the detector and the field. Only in the ultraweak coupling regime could some degree of recoherence in the detector appear at late times, but never in full restoration. We explicitly show that under the most general conditions the detector never recovers its quantum coherence and the entanglement between the detector and the field remains large at late times. To the extent this model can be used as an analog to the system of a black hole interacting with a quantum field, our result seems to suggest in the prevalent non-Markovian regime, assuming unitarity for the combined system, that black hole information is not lost but transferred to the quantum field degrees of freedom. Our combined system will evolve into a highly entangled state between a remnant of large area (in Bekenstein's black hole atom analog) without any information of its initial state, and the quantum field, now imbued with complex information content not-so-easily retrievable by a local observer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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